SOLUTION: An angle is 3 degrees less than one half its complement. find the complement

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Question 349644: An angle is 3 degrees less than one half its complement. find the complement
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
BY DEFINITION THE SUM OF COMPLEMENTARY ANGLES IS 90 DEGREES!
C%5B1%5D%2BC%5B2%5D=90
PROBLEM STATES! C%5B2%5D IS %281%2F2%29%2AC%5B1%5D+-+3
SUBSITUTE
C%5B1%5D%2B%28%281%2F2%29%2AC%5B1%5D-3%29+=90
COMBINE
%283%2F2%29%2AC%5B1%5D-3+=90
SOLVE:
multiply EACH SIDE OF EQUATION by (2/3)
C%5B1%5D+-2+=60
C%5B1%5D=62
FIND C[2] = (1/2)*C[1]-3)!!!
C%5B2%5D=28
CHECK YOUR ANSWERS!! 62 +28 = 90